Multiplying Rational Numbers
This worksheet focuses on multiplying rational numbers, including fractions, decimals, and mixed numbers, for Grade 10 students.
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Multiplying Rational Numbers
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Read each question carefully and show your work for full credit. Simplify all answers to their lowest terms.
1. Multiply the following fractions. Simplify your answer.
a) (3/4) × (2/5) =
b) (-7/8) × (4/3) =
c) (5/6) × (-9/10) =
2. Calculate the product of the following decimals.
a) 0.25 × 1.2 =
b) -3.4 × 0.5 =
c) (-0.06) × (-2.5) =
3. Multiply the following mixed numbers. Remember to convert them to improper fractions first. Simplify your answer.
a) 1 (1/2) × 2 (1/3) =
b) -3 (1/4) × 1 (1/5) =
4. Which of the following expressions has a positive product?
(-2/3) × (1/4)
0.5 × (-1.5)
(-1/2) × (-0.75)
-2 × (3/4)
5. Determine if the following statements are true or false.
a) The product of two negative rational numbers is always negative.
True
False
b) Multiplying a rational number by 1 does not change its value.
True
False
6. Solve the following word problem.
A recipe calls for 2 (1/4) cups of flour. If you want to make 1 (1/2) times the recipe, how much flour do you need?
7. Visualize the multiplication of 1/2 by 3 on the number line below. Mark the result.